Convert degrees to radians

Please provide values below to convert degree [°] to radian [rad], or vice versa.
°
rad
⇅
Result:

Degree (°)

Definition: A degree (symbol: °) is a unit of angle measurement. It is defined as 1/360 of a full circle. One degree is equal to π/180 radians. The degree is commonly used in geometry, navigation, and astronomy.

History/origin: The degree has been used as a unit of measurement since ancient times. It was originally based on the number of days in a year (approximately 360). The degree was standardized in the 18th century as 1/360 of a full circle.

Current use: The degree is primarily used in mathematics, physics, and engineering. It is also used in navigation, meteorology, and various other applications.

Radian (rad)

Definition: A radian (symbol: rad) is a unit of angle measurement. It is defined as the angle subtended at the center of a circle by an arc equal in length to the radius of the circle. One radian is equal to 180/π degrees, or approximately 57.2958 degrees.

History/origin: The radian was introduced in the 18th century as a more natural unit of angle measurement than the degree. It was formally adopted as an SI unit in 1960.

Current use: The radian is used in mathematics, physics, and engineering. It is the standard unit of angle measurement in the International System of Units (SI).

Degree to Radian Conversion Table

Degree [°]Radian [rad]
0.01 °0.000174 rad
0.1 °0.001745 rad
1 °0.017453 rad
2 °0.034907 rad
3 °0.052360 rad
5 °0.087266 rad
10 °0.174533 rad
20 °0.349066 rad
50 °0.872665 rad
100 °1.745329 rad
1000 °17.453293 rad

How to Convert Degree to Radian

1 ° = 0.0174532925 rad
1 rad = 57.2957795131 °

Example: convert 15 ° to rad:
15 ° = 15 × 0.0174532925 rad = 0.2617993875 rad

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